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Finding the Fourth Proportional to 1,031.38, 1,423.30 and 565.63

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Solution

The fourth proportional to 1,031.38, 1,423.30 and 565.63 is: 780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.38 : 1,423.30 = 565.63 : x
  2. Step 2: Convert to fraction form
    1,031.38/1,423.30 = 565.63/x
  3. Step 3: Cross multiply
    1,031.38x = 1,423.30 × 565.63
  4. Step 4: Simplify right side
    1,031.38x = 805,061.18
  5. Step 5: Solve for x
    x = 805,061.18/1,031.38
  6. Step 6: Final answer
    x = 780.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.